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Pertanyaan

Diketahui vektor a = 3 i + 2 j ​ − k b = 3 i + 5 j ​ + 4 k a = − 5 i + 2 j ​ − 3 k Tentukan hasil dari − 3 c + 3 a − 2 b .

Diketahui vektor

Tentukan hasil dari .

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Jawaban terverifikasi

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 table attributes columnalign right center left columnspacing 0px end attributes row cell negative 3 c with bar on top plus 3 a with bar on top minus 2 b with bar on top end cell equals cell 18 i with hat on top plus negative 10 minus 2 k with hat on top end cell end table.

Pembahasan

Operasi pada vektor Diketahui vektor Akan ditentukan hasil dari Jadi, .

Operasi pada vektor

Diketahui vektor

a with bar on top equals 3 i with hat on top plus 2 j with hat on top minus k with hat on top b with bar on top equals 3 i with hat on top plus 5 j with hat on top plus 4 k with hat on top a with bar on top equals negative 5 i with hat on top plus 2 j with hat on top minus 3 k with hat on top

Akan ditentukan hasil dari negative 3 c with bar on top plus 3 a with bar on top minus 2 b with bar on top

table attributes columnalign right center left columnspacing 0px end attributes row cell negative 3 c with bar on top plus 3 a with bar on top minus 2 b with bar on top end cell equals cell negative 3 open parentheses negative 5 i with hat on top plus 2 j with hat on top minus 3 k with hat on top close parentheses plus 3 open parentheses 3 i with hat on top plus 2 j with hat on top minus k with hat on top close parentheses minus 2 open parentheses 3 i with hat on top plus 5 j with hat on top plus 4 k with hat on top close parentheses end cell row blank equals cell 15 i with hat on top minus 6 j with hat on top plus 9 k with hat on top plus 9 i with hat on top plus 6 j with hat on top minus 3 k with hat on top minus 6 i with hat on top minus 10 j with hat on top minus 8 k with hat on top end cell row blank equals cell open parentheses 15 plus 9 minus 6 close parentheses i with hat on top plus open parentheses negative 6 plus 6 minus 10 close parentheses j with hat on top plus open parentheses 9 minus 3 minus 8 close parentheses k with hat on top end cell row blank equals cell 18 i with hat on top plus negative 10 minus 2 k with hat on top end cell end table

Jadi, table attributes columnalign right center left columnspacing 0px end attributes row cell negative 3 c with bar on top plus 3 a with bar on top minus 2 b with bar on top end cell equals cell 18 i with hat on top plus negative 10 minus 2 k with hat on top end cell end table.

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Diketahui vektor p ​ = ( 3 4 ​ ) , vektor q ​ = ( 5 − 1 ​ ) , dan vektor r = ( − 2 6 ​ ) . Tentukan: b) p ​ + 2 q ​ − 3 r

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